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Finding the Fourth Proportional to 2,801.49, 3,866.24 and 1,855.65

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Solution

The fourth proportional to 2,801.49, 3,866.24 and 1,855.65 is: 2,560.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.49 : 3,866.24 = 1,855.65 : x
  2. Step 2: Convert to fraction form
    2,801.49/3,866.24 = 1,855.65/x
  3. Step 3: Cross multiply
    2,801.49x = 3,866.24 × 1,855.65
  4. Step 4: Simplify right side
    2,801.49x = 7,174,388.26
  5. Step 5: Solve for x
    x = 7,174,388.26/2,801.49
  6. Step 6: Final answer
    x = 2,560.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.